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A high torque motor has an approximately cylindrical housing 9.5 in. long and 6 in. in diameter. The motor delivers 1/8 hp in steady operation and has an efficiency of 0.72. All the heat generated by motor losses is removed by natural convection and radiation from the outer surface of the housing. The convective coefficient is 1.68 tu/h ft^2 F , and the housing emissivity is 0.91. If the surroundings are at 58 F, what is the housing’s outer surface temperature?

A high torque motor has an approximately cylindrical housing 9.5 in. long and 6 in. in diameter. The motor delivers 1/8 hp in steady operation and has an efficiency of 0.72. All the heat generated by motor losses is removed by natural convection and radiation from the outer surface of the housing. The convective coefficient is 1.68 tu/h ft^2 F , and the housing emissivity is 0.91. If the surroundings are at 58 F, what is the housing’s outer surface temperature?